Closure to “Discussion of ‘On the Axisymmetric Problem of the Theory of Elasticity for an Infinite Region Containing Two Spherical Cavities’” (1952, ASME J. Appl. Mech., 19, p. 410)
Eli Sternberg, M. A. Sadowsky · Journal of Applied Mechanics · 1952
SEPTEMBER, 1!>52To obtain reasonable accuracy with a straightforward use of finite-difference approximations to derivatives, it is usually found that rather more mesh points are desirable than have been used by the author.Again, when using collocation methods for satisfaction of boundary conditions, i.e., satisfaction of such conditions at a small finite number of points oil the boundary, it is desirable to examine, in some way or another, the results given by such solutions at boundary points intermediate to the "collocation" boundary points.It occasionally happens that in between the collocation points the solutions oscillate quite wildly.